319303993 has 2 divisors, whose sum is σ = 319303994. Its totient is φ = 319303992.

The previous prime is 319303967. The next prime is 319304003. The reversal of 319303993 is 399303913.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178810384 + 140493609 = 13372^2 + 11853^2 .

It is an emirp because it is prime and its reverse (399303913) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 319303993 - 2⁵ = 319303961 is a prime.

It is not a weakly prime, because it can be changed into another prime (319303903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 159651996 + 159651997.

It is an arithmetic number, because the mean of its divisors is an integer number (159651997).

Almost surely, 2^319303993 is an apocalyptic number.

It is an amenable number.

319303993 is a deficient number, since it is larger than the sum of its proper divisors (1).

319303993 is an equidigital number, since it uses as much as digits as its factorization.

319303993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59049, while the sum is 40.

The square root of 319303993 is about 17869.0792432067. The cubic root of 319303993 is about 683.4941206940.

The spelling of 319303993 in words is "three hundred nineteen million, three hundred three thousand, nine hundred ninety-three".